Linear chapter question

hey need help on this question

Points A,B AND C have the coordinates (1,6),(0,0) and (-2,2). find 3 possible coordinates for point D so that the four points form a parallelogram. (exclude the case where all points lie in a straight line.

Points A,B AND C have the coordinates (1,6),(0,0) and (-2,2). find 3 possible coordinates for point D so that the four points form a parallelogram. (exclude the case where all points lie in a straight line.

please show working out

thanks

In the future, it helps those trying to answer your question if you post your question in the proper place. This is pretty clearly not a problem from an elementary school classroom. You see, the tough thing is that I don't know what your class material looks like so I'm not sure what way I ought to help (there is more than one way to do this problem).

That said, I'll just make assumptions and say that your fourth point D will be to point A what point C is to point B. What I mean by that is, imagine the vector from B to C (not hard, it's the side of the parallelogram between B and C). Now take that vector and add it to A to find D. You do the working out--draw a picture if you have a hard time picturing it and it'll pop right out at you.